Question

Determine all numbers at which the function is continuous.

Answer 1

Answer: Option a.

Explanation:

Make the denominator equal to zero and solve for x, as following:

`x^(2)+8x-9=0`

Choose two numbers whose sum is 8 and whose product is 9.

Then:

`(x-1)(x+9)=0\\x=1\\x=-9`

Therefore, based on this, you can conclude that the function is continuous at everty real number except x=1 and x=-9.